Which expression is equivalent to

Answer:

q = ± [tex]\sqrt{\frac{p}{2} }[/tex]

Step-by-step explanation:

Given

p = 2q² ( divide both sides by 2 )

[tex]\frac{p}{2}[/tex] = q² ( take the square root of both sides )

± [tex]\sqrt{\frac{p}{2} }[/tex] = q

Answer:

the first one is 8x-2a

second is 4x+6y

You should combine like factors- factors with the same variable and get your answer.

Answer:

3x-2a+5x+4a

8x + 2a

6x-2x+8y-2y

4x + 6y

explanation:

These are about combining "like terms" so you put the x-terms together by adding or subtracting the "coefficients," the numbers attached to the variables. Combine only terms that have the same letters when adding or subtracting.

Answer:

Step-by-step explanation:

[tex]c^2=a^2+b^2\\96^2+b^2=105^2\\96^2=9216\\105^2=11025\\b^2=11025-9216\\=1809\\\sqrt{1809} \\bft=42.53[/tex]

Answer:

Step-by-step explanation:

x + 85 = 180

x = 95

Answer:

(A)A triangle with angles 45 degrees, 45 degrees, and 90 degrees. 2 sides are congruent.

Step-by-step explanation:

If Javier wants to construct a square by drawing two congruent triangles.

Therefore, the triangle which could be used is a triangle with angles 45 degrees, 45 degrees, and 90 degrees.

The correct option is A.

Answer:

its a

Step-by-step explanation:

Answer:

Step-by-step explanation:

upper block:

length (l) = 120 cm

Width (w) = 30 cm

Height (h) = 60 cm

Volume of upper block = l * w * h

                                      = 120 * 30 *60

                                     = 216,000 cm³

Lower Block

l = 120 cm

w = 30 cm

h = 30 cm

Volume of lower block = 120 * 30 * 30

                                      = 108,000 cm³

Volume of steps = 216,000 + 108,000 = 324,000 cm³

Answer:

Step-by-step explanation:

y=x²+4x-7

=x²+4x+4-4-7

=(x+2)²-11

axis of symmetry is x=-2

vertex is (-2,-11)

x²+4x-7=0

[tex]x=\frac{-4 \pm\sqrt{4^2-4(1)(-7)} }{2(1)} \\=\frac{-4 \pm \sqrt{16+28} }{2} \\=\frac{-4 \pm 2\sqrt{11} }{2} \\=-2 \pm\sqrt{11}[/tex]

Answer:

Axis of symmetry is x = -2

(-2, -11) is the vertex

Roots are

-2 + [tex]\sqrt{11}[/tex], -2 - [tex]\sqrt{11}[/tex]

Step-by-step explanation:

a) Axis of symmetry equation is: x = -b/2a

Original equation: y = [tex]x^2+4x-7[/tex]

So...

x= -4/2(1) = -2

Axis of symmetry is x = -2

b) Vertex Point can be found by plugging into original equation.

[tex]y =x^2+4x-7[/tex]

=> y = [tex](-2)^2+4(-2)-7[/tex]

=> 4 - 8 - 7 = y

=> -11 = y

(-2, -11) is the vertex

c) quadratic formula is  [tex]x = \frac{-b +-\sqrt{b^2-4ac} }{2a}[/tex]

Lets plug in the values.

[tex]\frac{-4 +- \sqrt{4^{2}-4(1)(-7) } }{2(1)}[/tex]

[tex]\frac{-4 +- \sqrt{16+28 } }{2}[/tex]

[tex]\frac{-4 +- \sqrt{44 } }{2}[/tex]

[tex]\sqrt{44} = 2\sqrt{11}[/tex]

-4 +- 2[tex]\sqrt{11}[/tex]

--------------

     2

Here, i will factor out 2, and take out the +- and make it into two equations

2(-2 + [tex]\sqrt{11}[/tex]) / 2 = -2 + [tex]\sqrt{11}[/tex]

2(-2 - [tex]\sqrt{11}[/tex]) / 2  =   -2 - [tex]\sqrt{11}[/tex]

x= -2 + [tex]\sqrt{11}[/tex]

or

x = -2 - [tex]\sqrt{11}[/tex]

Roots are

-2 + [tex]\sqrt{11}[/tex], -2 - [tex]\sqrt{11}[/tex]

Answer:

Waddup bro. For your answer, think of it this way. What 3 digits will make up 9? 1 x 9 is 9. So that would work. find it out by trying out different combination that would make up 9. I'm not gonna write all of 'em but 3 digits would add up to 9. There are no other groups of numbers adding up to 9. 4. Add up the remaining digits, 5 + 5 + 0 + 3 = 13. 5.13 is more than 9, so 1 + 3 = 4.  To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers. So add all up the singe digits and divide it by how much there is.

Answer:

Step-by-step explanation:

numbers are

108,117,126,135,144,153,162,171,180,

207,216,225,234,243,252,261,270,

306,315,324,333,342,351,360,

405,414,423,432,441,450,

504,513,522,531,540,

603,612,621,630,

702,711,720,

801,810,

900

total number of terms=9+8+7+6+5+4+3+2+1=45

median =(45+1)/2=23 rd term

median=351

Answer:

3

Step-by-step explanation:

[tex]\frac{h^{2}-1 }{h+3}[/tex]

[tex]\frac{5^{2} -1}{5+3}[/tex]

[tex]\frac{25-1}{8}[/tex]

[tex]\frac{24}{8}[/tex]

3

Answer: 88 in2

Step-by-step explanation:

The side of the can, which when "unrolled" is a rectangle, with width = height of the cylinder (7 in); and length = Circumference = 2π radius

Surface area of the curved surface of the can = 2π (diameter/2) x height

Replacing with the values given:

S = 2π (4/2) x 7 = 2π (2) x 7 = 88 in2

Feel free to ask for more if needed or if you did not understand something.

The answer is 21

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Given

[tex]\sqrt[4]{81y^{12} }[/tex]

= [tex]\sqrt[4]{3^{4} }[/tex][tex](y^3)^{4}[/tex]

= 3y³ → C

Answer: A, C, D

Step-by-step explanation: The other person accidentally put 49 instead of 42

The equations that are correct are n = 10, CF = 59 and FE = 42

From the attached diagram, we can see that the opposite side of the parallelogram are equal, hence;

DE = CF
6n - 1  = 5n + 9'

Find the value f n

6n - 5n = 9 + 1

n = 10

CF = 5n + 9

CF = 5(10) + 9
CF = 59

For the measure of FE
FE = 4n + 2

FE = 4(10) + 2

FE = 42

Hence the equations that are correct are n = 10, CF = 59 and FE = 42

Learn more on parallelogram here: https://brainly.com/question/970600

Answer:

I am pretty sure that it is the bottom left answer.

Step-by-step explanation:

Answer:

it would've been A the first one

Answer:

uniform i think sorry if im wrong

Answer:

[tex]46 {in}^{2} [/tex]

First answer is correct.

step by step explanation is attached to the answer.

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

its c i guess i thought it was B because it says the amount of water that remains in the water barrel remains means what is left and initially means at first so i guess its C

Step-by-step explanation:

please rate and give me a thanks if you wanna get more answers

Here, we are required to determine what the y-intercept represents.

The equation of a line is given by;

y = mx + c.

where m = slope

and c = y-intercept.

Since the y-axis represents the Gallons of water left in the tank.

The y-intercept represents the point which corresponds to when x = 0.

In this case, the y-intercept represents the amount of water that is initially in the water barrel. i.e 45gallons of water.

Read more:

https://brainly.com/question/22163485

Answer:

(6 * 0 + 0) + 2 /2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Answer:

answer is the first one

Answer:

A.

[tex]$\left[-\frac{13}{2},\infty \right)$[/tex]

Step-by-step explanation:

Inequality given:

[tex]11\leq 6(n+4)-4n[/tex]

[tex]11\leq 6n+24-4n[/tex]

[tex]11\leq 2n+24[/tex]

[tex]11-24\leq 2n+24-24[/tex]

[tex]-13\leq 2n[/tex]

[tex]$\frac{-13}{2} \leq n$[/tex]

Interval Notation:

[tex]$\left[-\frac{13}{2},\infty \right)$[/tex]

We have:

[tex]$\{n \in \mathbb{R}:n\geq \frac{-13}{2} \}$[/tex]

Answer:

Yes

Step-by-step explanation:

Only if its sold by a person and not a company, most people refer to that as an offer.

Answer:

Yup, it can

Step-by-step explanation:

In newspapers or online people do many offers/sales to get you to buy something. For example, let's say you see Gardening Services, that would be considered as an offer, because the salesperson or company is selling you something. Online, you could be sold offers as well, like a new phone, a house, etc.

Hope this helps

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-4,0) and (0,-3):

[tex]m=\frac{-3-0}{0-(-4)}=\frac{-3}{4}=\boxed{-\frac{3}{4}}[/tex]

The slope of the line is [tex]-\frac{3}{4}[/tex].

Answer:

AC=7.5 cm

CB=10.5cm

Step-by-step explanation:

Since we don't know the distance from C to B, we can label it as x. Our equation will be x+(x-3)=18. Simplify that so it is 2x-3=18. Add 3 to both sides and get 2x=21. x=10.5 So AC=7.5 cm and CB is 10.5 cm

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

As the area is 12, the length multiplied by the width must equal 12

Therefore, we can eliminate option B and option D as they wouldn't multiply to give 12

Let's test option A to see if it gives a perimeter of 16

2 + 6 + 2 + 6 = 16

As you see, this sums to 16

Thus, your answer is option A

Have A Nice Day ❤    

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Answer: For Ryan to get an average of exactly 91, she needs to get a 90 on her fifth quiz.

Step-by-step explanation:

You can find the average of a set of numbers by adding them together and dividing the sum by the amount of numbers added.

Ryan has five total quizzes. Only four of them are known, so we can represent her fifth quiz as X.

[tex]\frac{87 + 93 + 96 + 89 + x}{5}[/tex], dividing the five quizzes' sum by 5

She wants the average to be exactly 91, so you can set the expression equal to 91 and solve:

[tex]\frac{365 + x}{5} = 91\\\\365 + x = 455\\\\x = 90[/tex]

For Ryan to get an average of exactly 91, she needs to get a 90 on her fifth quiz.

Answer:

its 1/2

Step-by-step explanation:

please correct me if im wrong

Answer:

cos60 - cos 72

Step-by-step explanation:

you can have an angle measure between 60 and 72 hence cos 60 - cos 72

hope this helps

Answer:

Step-by-step explanation:

length = 5 1/4 = 21/4 inches

Width = 2 1/2 = 5/2 inches

Height = 2 inches

Volume of rectangular prism = length * width * height

                     [tex]= \frac{21}{4}*\frac{5}{2}*2\\\\= \frac{21}{4}*5\\\\=\frac{105}{4}[/tex]

                     = 26.25 cubic inches

Answer:

26 1/4 i think

Step-by-step explanation:

5 1/4 times 2 1/2 times 2 is 26 2/8 but then you simplify it and you get 26 1/4